Question

1. a triangle with vertices at (3, -2), (5, -4), (7, -2) is rotated 180 degrees around the origin. what are the new coordinates of the point (3, -2)?

a. (-3, -2)
b. (-3, 2)
c. (3, 2)
d. (2, -3)

Explanation:

Step1: Recall rotation rule

When rotating a point $(x,y)$ 180 - degrees around the origin, the new - point is $(-x,-y)$.

Step2: Apply rule to given point

For the point $(3, - 2)$, where $x = 3$ and $y=-2$.
The new $x$ - coordinate is $-x=-3$ and the new $y$ - coordinate is $-y = -(-2)=2$. So the new point is $(-3,2)$.

Answer:

B. $(-3, 2)$